Results 31 to 40 of about 565 (145)
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This article investigates the existence, uniqueness, and stability of solutions for a class of nonlinear fractional integrodifferential equations (NLFIDEs) with nonlocal boundary conditions in Banach algebras. By employing advanced analytical techniques within the Banach algebra framework, we rigorously establish existence and uniqueness results and ...
Yahia Awad +4 more
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An Extension of the Cramer-Rao Inequality
The Annals of Mathematical Statistics, 1959 Cramer ([6], p. 474 ff.), Darmois [8], Frechet [10], and Rao [14] derived independently a lower bound for the mean square error of an estimate $t$ of a parameter which appears in a frequency function of a specified form. This expression, alternately termed the Cramer-Rao inequality or the information limit, is \begin{equation*}\tag{1.1}]E(t - \alpha)^2
openaire +3 more sources
A New Extended Pareto Distribution: Statistical Properties, Estimation, and Applications
The Scientific World Journal, Volume 2026, Issue 1, 2026.The Pareto distribution is a fundamental model for heavy‐tailed data, but its rigid structure often fails to capture the diverse tail behaviors and hazard rate patterns observed in real‐world applications. To address this limitation, we propose a new extended Pareto (EP) distribution, obtained by applying the modified Fréchet generator to the classical
Merga Abdissa Aga, Deepali Deepali
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Lost in Translation: Harmonizing Terminology and Defining Mathematical Tools for Panel Optimization
Cytometry Part A, Volume 107, Issue 12, Page 793-816, December 2025.ABSTRACT Spectral flow cytometry has evolved from a contentious idea into a mainstay of high‐parameter single‐cell analysis, yet its vocabulary (and the statistical reasoning behind it) remains a patchwork of overlapping, sometimes contradictory terms.
Bartek Rajwa, Mario Roederer
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NMR in Biomedicine, Volume 38, Issue 11, November 2025.Optimization of variable flip angle schemes that minimize the variances of conversion rate estimates derived from hyperpolarized magnetic resonance experiments. Simulations based on in vitro experiments validated the improved parameter estimation and robustness of the optimized variable flip angle schemes.
Marie Frederikke Garnæs +5 more
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Generalized Kramer–Rao inequality for the moments of distribution of estimation error
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2019 In this paper it's obtained a generalized system of statistical inequalities under additional conditions of regularity of the statistical experiment, which is a generalization of the Cramer–Rao inequality.
A. V. Ausiannikau, V. M. Kozel
doaj
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 10, Page 2081-2092, October 2025.Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
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Sine $$\pi$$ π -power odd-G family of distributions with applications
Scientific ReportsThis paper investigates a novel category of probability distributions and a specific member within this category. We have formulated a new family of trigonometric distributions by utilizing the odds ratio derived from the distribution function of a base ...
Laxmi Prasad Sapkota +7 more
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Extensions of Some Statistical Concepts to the Complex Domain
AxiomsThis paper deals with the extension of principal component analysis, canonical correlation analysis, the Cramer–Rao inequality, and a few other statistical concepts in the real domain to the corresponding complex domain.
Arak M. Mathai
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A Multi‐Model Perspective for Stochastic Inverse Modeling of Diclofenac Dynamics in Porous Media
Water Resources Research, Volume 61, Issue 7, July 2025.Abstract We analyze and model the dynamics of a complex hydro‐geochemical system associated with a variety of physico‐chemical processes. These take place in a soil‐water environment mimicked through a laboratory‐scale column hosting a redox zonation and subject to injection of a solution rich in the pharmaceutical diclofenac.
Laura Ceresa +2 more
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